IB MAI HL Calculus Topic 5.1 Differentiation (id: b0cd949d2)

本题目来源于试卷: IB MAI HL Calculus Topic 5.1 Differentiation，类别为 IB数学

[填空题]
A conical tank is benzhp2 o- c7icyh 4rs:;inn3 /bm c(rpcb( 3jpyr+ o)-vysg filled with water. The dimensions of the tank are shown in the following diagram.)y (bnpm-p+3cbo/jsy3vr(r c

1.Show that an expression for the volume, V, in the tank in terms of the water level height, h, is

$V=\frac{\pi h^{3}}{27}$

2. The tank is being filled at a rate of 1 $\mathrm{~m}^{3} \mathrm{~min}^{-1}$ . Find the rate of change of the water height h at the instant when the water level is 2 $\mathrm{~m}$ high.
the water level height is rising at a rate of    m/min(Omit to three decimal places)
​

参考答案: 0.716±0.003


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